Stefan number
| Physical key figure | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Surname | Stefan number | ||||||||
| Formula symbol | |||||||||
| dimension | dimensionless | ||||||||
| definition | |||||||||
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| Named after | Josef Stefan | ||||||||
| See also: Jacob number | |||||||||
The Stefan number is a dimensionless number , defined as the ratio of sensible heat to latent heat :
Here denotes the specific heat capacity , the melting temperature, and the phase change enthalpy. The key figure is useful for characterizing problems with phase transitions and is named after the physicist Josef Stefan .
The reciprocal of the Stefan number is called the phase transition number .
The Jakob number is generally used as an equivalent to the Stefan number for evaporation and condensation .
literature
- LI Rubinshteĭn: The Stefan Problem (= Translations of Mathematical Monographs. Vol. 27). American Mathematical Soc. 1971, ISBN 0821886568 .
- Henry Hu, Stavros A. Argyropoulos: Mathematical modeling of solidification and melting: a review. In: Modeling and Simulation in Materials Science and Engineering. 4, No. 4, 1996, p. 371, doi : 10.1088 / 0965-0393 / 4/4/004 .
- C. Gau, R. Viskanta: Melting and solidification of a metal system in a rectangular cavity. In: International Journal of Heat and Mass Transfer. 27, No. 1, 1984, pp. 113-123, doi : 10.1016 / 0017-9310 (84) 90243-6 .
- HD Baehr, K. Stephan: Heat and mass transfer . Springer, Berlin 2010, ISBN 978-3642055003 .